To understand the poincare conjecture, start by thinking of any object existing in a three-dimensional world.

要理解庞加莱猜想，当始于对三维世界存在的一切物体的认识。

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The mind (" I ") which discerns the three dimensional world around us, orders it by dividing it in separate objects, locating them spatially.

能感知我们周围的三维世界的心(“我”)，把这个世界分为不同的物体，把它们放在空间的不同位置。

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For the holographic universe to hold true, information must be encoded in the outermost reaches of the universe and it is projected into our 3 dimensional world.

为了让全息的宇宙保持真实，信息必须能在宇宙的最远处被编码，并被投射到我们的三维世界。

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For most of us, we can go up to three dimensions because we know we live in a three-dimensional world.

对于大多数人来说,我们最多可以考虑三维,因为我们生活在一个三维世界

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The chance to explore this strange new two dimensional world is the main event.

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